Question

1) The
opposite angles of a parallelogram
are (3x-2) and ( X+48) find the measure of each angle of the parallelogram


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Answer 1

Answer:

x=31

Step-by-step explanation:

opposite angles of a parallelogram are supplementary.

hence, (3x-2)+(x+48)=180

            4x+46=180

            4x=134

              x=134/4=31

            x=31

Answer 2

Answer:

3x-2=98.5°,x+48=81.5°

Step-by-step explanation:

⇒opposite angles in a parallelogram are supplementary (which means it's equal to 180°)

⇒3x-2+x+48=180°

⇒4x+46=180°

⇒4x=134°

⇒x=33.5°

∴x=33.5°

⇒3x-2=

⇒3×33.5-2

⇒98.5°

⇒x+48=

⇒33.5+48

⇒100.5°

∴100.5°+98.5°=180°